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Finding the Fourth Proportional to 625.47, 863.28 and 429.24

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Solution

The fourth proportional to 625.47, 863.28 and 429.24 is: 592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.47 : 863.28 = 429.24 : x
  2. Step 2: Convert to fraction form
    625.47/863.28 = 429.24/x
  3. Step 3: Cross multiply
    625.47x = 863.28 × 429.24
  4. Step 4: Simplify right side
    625.47x = 370,554.31
  5. Step 5: Solve for x
    x = 370,554.31/625.47
  6. Step 6: Final answer
    x = 592.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.